However, in view of the duality between $H^1$ and $BMO$, we are able to give a meaning to the product as a Schwartz distribution. Moreover, this distribution can be written as the sum of an integrable function and a distribution in some adapted Hardy-Orlicz space. When dealing with ...
Now A• and B• are cochain maps, meaning that DB=BdV and AD=dVA. Moreover, BA=I [20, Theorem 2]. This immediately implies the claim. □ In the case where the diagram has two rows (N=2),(26)A=(I0TdΠN),B=(ΠR⊥0ΠNdTΠN), andP=BPVA=(ΠR⊥0ΠNdTΠN)(P−P(...
meaning that their presence is essential for the correct prediction by the U-net. However, different trends are obtained when analyzing structure influence relative to the volume. In this case, the most influential structures per unit volume are relatively smaller wall-attached ejections, although th...
1A and specified in Eq. (4). For these payoffs, the cost of an action depends on the “true” quality qi of a player. However, the analysis of learning applies in the same way if the qualities qi are replaced by “perceived qualities” pi, as in Eq. (15), meaning that individual...
But if the input sets are valid, following segments in each VersionSet are valid, meaning it can only be possible if the end bound comes from one input and the start bound from the other input. But if we pick the end bound of one input, it means the end bound of the other is >=...
A set F ⊂ C(X, R) is said to be pointwise bounded if for every x ∈ X, A version of the Theorem holds also in the space C(X) of real-valued continuous functions
DECA works directly in the application layer of each sensor node, regardless, for example, of the routing protocol used. The steps of the algorithm are showed in Algorithm 1. The algorithm is presented for a node Siand considers the sensor energy\(\mathcal {E}_{i}\)and that the sensor...
We consider the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove global a priori
Under the rational decision model, at baseline parameter values, there are three parameter regimes in the m − e parameter value (Fig. 2(a)), meaning that three different types of dynamics can emerge depending on parameter values. A sufficiently costly vaccine (large m, as ...
‘transition’ we only denote a non-linear rapid increase and do not necessarily claim this to be a phase transition. The concept of phase transition has a very specific meaning in statistical mechanics which is used rigorously in evolutionary game theory62and a handful of studies have observed ...